The research reported in this article sought to develop a taxonomy of grade 11 students' levels of understanding in algebraic problem-solving tasks. The student sample was from high schools in the province of Ontario in Canada. Problems from four areas in algebra namely, variables, expressions, equations and word problems were chosen to be…

Students' ability in Indonesia has decreased due to the COVID-19 pandemic, so the Government provides solutions to restore learning in Indonesia through a Merdeka curriculum. The impact on schools, especially mathematics subjects, decreased mathematical problem-solving abilities. The decreasing ability of students to solve problems requires a test…

The purpose of this study was to investigate the relationship between the nature of small group discussion tasks and learners' talk during Physical Science lessons. The study was conducted during Physical Science lessons with three self-selected groups of Grade 11 learners from one school. A total of three lessons were followed. During the…

A cohort of pre-service mathematics students was exposed to a teaching strategy based on retrieval practice and test-potentiated learning. The aim of the study was to determine how high and low prior topic knowledge study participants compare in terms of their procedural fluency and conceptual understanding after exposure to the teaching strategy.…

This study explores the worked-example instruction (WEI) and the van Hiele teaching phases (VHTP) pedagogies to advance students' acquisition of procedural and conceptual understanding of solving simultaneous equations. The quasi-experimental study involved two groups of high school students (age=15): 157 students in total with 72 in one group and…

Generalization is a critical component of mathematical reasoning, with researchers recommending that it be central to education at all grade levels. However, research on students' generalizing reveals pervasive difficulties in creating and expressing general statements, which underscores the need to better understand the processes that can support…

This study addresses the development and evaluation of the Physics Problem-Solving Taxonomy (PPST), comprising five levels: retrieval, diagnosis, strategy, conceptual, and creative thinking. The taxonomy draws on Bloom's revised taxonomy in the cognitive domain, the Types of Knowledge Taxonomy, and the Problem-Solving Taxonomy in engineering. The…

A central issue in the design of curricula for all school levels is the development of the learners' high-order thinking skills and metacognitive skills. Among such required skills is the ability to solve problems. The literature dealing with the development of problem-solving skills is vast and primarily addresses the scientific disciplines, even…

The Indian National Curriculum Framework has as one of its objectives the development of mathematical thinking and problem solving ability. However, recent studies conducted in Indian metros have expressed concern about students' mathematics learning. Except in some private coaching academies, regular classroom teaching does not include problem…

Science and mathematics are becoming computational endeavors. This fact is reflected in the recently released Next Generation Science Standards and the decision to include "computational thinking" as a core scientific practice. With this addition, and the increased presence of computation in mathematics and scientific contexts, a new…

This paper examines students' achievements in solving problems and their misunderstandings when using models. A mixed research methodology was applied. Quantitative research investigated how the performance of students with various levels of high school GPAs correlated with their rating of their lecturers' teaching proficiency. Four lecturers and…